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Finding the Fourth Proportional to 5,470.73, 8,207.54 and 1,961.09

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Solution

The fourth proportional to 5,470.73, 8,207.54 and 1,961.09 is: 2,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.73 : 8,207.54 = 1,961.09 : x
  2. Step 2: Convert to fraction form
    5,470.73/8,207.54 = 1,961.09/x
  3. Step 3: Cross multiply
    5,470.73x = 8,207.54 × 1,961.09
  4. Step 4: Simplify right side
    5,470.73x = 16,095,724.62
  5. Step 5: Solve for x
    x = 16,095,724.62/5,470.73
  6. Step 6: Final answer
    x = 2,942.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.